I'll redraw the structure with a fixed-pitch font: CH3
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CH3-CH-C-CH2-CH2-CH3
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OH CH3
There! This is an alcohol, so we want to start by numbering the main chain starting from the end closest to the OH group, which is the left side in this case. The main chain has 6 carbons which is hexane. Drop "e" and add "ol" to convert to the alcohol name "hexanol." Since the OH group is bonded to carbon #2, we have "2-hexanol." Finally, we will prefix this "parent" alcohol name with the names of the other groups attached to the main chain, in alphabetical order and with their positions given:
"3-methyl-3-methyl-2-hexanol," which shortens to 3,3-dimethyl-2-hexanol. 
Note: Some textbooks are going back to the more awkward (to me) "hexan-2-ol" instead of "2-hexanol." Using this form, the full name is 3,3-dimethylhexan-2-ol.
Steve
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